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Finding the Third Proportional to 254,375 and 404,911

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Solution

The third proportional to 254,375 and 404,911 is: 644,532.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,375 : 404,911 = 404,911 : x
  2. Step 2: Convert to fraction form
    254,375/404,911 = 404,911/x
  3. Step 3: Cross multiply
    254,375x = 404,911 × 404,911
  4. Step 4: Simplify right side
    254,375x = 163,952,917,921
  5. Step 5: Solve for x
    x = 163,952,917,921/254,375
  6. Step 6: Final answer
    x = 644,532.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.